(4m-9n)(3m-n)=

Simple and best practice solution for (4m-9n)(3m-n)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4m-9n)(3m-n)= equation: 


Simplifying
(4m + -9n)(3m + -1n) = 0

Multiply (4m + -9n) * (3m + -1n)
(4m * (3m + -1n) + -9n * (3m + -1n)) = 0
((3m * 4m + -1n * 4m) + -9n * (3m + -1n)) = 0

Reorder the terms:
((-4mn + 12m2) + -9n * (3m + -1n)) = 0
((-4mn + 12m2) + -9n * (3m + -1n)) = 0
(-4mn + 12m2 + (3m * -9n + -1n * -9n)) = 0
(-4mn + 12m2 + (-27mn + 9n2)) = 0

Reorder the terms:
(-4mn + -27mn + 12m2 + 9n2) = 0

Combine like terms: -4mn + -27mn = -31mn
(-31mn + 12m2 + 9n2) = 0

Solving
-31mn + 12m2 + 9n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + -9n)(3m + -1n) = 0


Subproblem 1
Set the factor '(4m + -9n)' equal to zero and attempt to solve:

Simplifying
4m + -9n = 0

Solving
4m + -9n = 0

Move all terms containing m to the left, all other terms to the right.

Add '9n' to each side of the equation.
4m + -9n + 9n = 0 + 9n

Combine like terms: -9n + 9n = 0
4m + 0 = 0 + 9n
4m = 0 + 9n
Remove the zero:
4m = 9n

Divide each side by '4'.
m = 2.25n

Simplifying
m = 2.25n

Subproblem 2
Set the factor '(3m + -1n)' equal to zero and attempt to solve:

Simplifying
3m + -1n = 0

Solving
3m + -1n = 0

Move all terms containing m to the left, all other terms to the right.

Add 'n' to each side of the equation.
3m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
3m + 0 = 0 + n
3m = 0 + n
Remove the zero:
3m = n

Divide each side by '3'.
m = 0.3333333333n

Simplifying
m = 0.3333333333n
Solution
m = {2.25n, 0.3333333333n}

See similar equations:

| 12u+v+5u+12v= | | -7b-2=19 | | (3x-7y)(5x+y)= | | 2a+3=112 | | (4x-5)(2x+17)= | | 6x+4=2x-14 | | 3c^2=108 | | a=2x-y+(20-1)*(x+y) | | S=2(3.14)r^2+2(3.14)r(h) | | a=2x-y+(20-1)*(x-y) | | 3(3x-4)+36x=12(3x+4)+108 | | 10x^2y^2+38xy^2-60y^2= | | 7+12x+4x^2=0 | | a-(2x-y)=1x+1y | | 3(y+3)=9(y-7) | | a-(2x-y)=x-y | | x+1.7+3x=18-2x | | 2(x-9)+5(x+5)=18 | | 4(3x+3)-29=10x+1 | | a-(2x-y)=1x-1y | | r^2-15r+44= | | v-8b=1 | | 8x-2=9(x+2) | | 8u^2+89u+228=0 | | a-(2x-y)=-5x+y | | 8.11n+3.47=-3.05n+6.43 | | a-(2x-y)=5x+y | | 4(2x-13)-5=15 | | 8x-(7x+2)=3 | | 45-3x=180 | | X×6/3 | | (x+4)6=25 |

Equations solver categories